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The eigenvalue problem for linear and affine iterated function systems

Date

Authors

Barnsley, Michael

vince, Andrew

Publisher

Elsevier

Abstract

The eigenvalue problem for a linear function L centers on solving the eigen-equation Lx=λx. This paper generalizes the eigenvalue problem from a single linear function to an iterated function system F consisting of possibly an infinite number of linear o

Keywords

Keywords: Affine function; Compact sets; Eigen-value; Eigenvalue problem; Infinite numbers; Iterated function system; Joint spectral radius; Linear functions; Matrix algebra; Eigenvalues and eigenfunctions Eigenvalue problem; Iterated function system; Joint spectral radius

URI

http://hdl.handle.net/1885/68234

Collections

ANU Research Publications

Source

Linear Algebra and its Applications

Type

Journal article

DOI

10.1016/j.laa.2011.05.011

Restricted until

2037-12-31

Downloads

File

Description

01_Barnsley_The_eigenvalue_problem_for_2011.pdf (480.18 KB)